Average Error: 0.0 → 0.0
Time: 17.0s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(-\left(-\left(\left(y + t\right) - 2\right)\right)\right) \cdot b\]
\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
↓
\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(-\left(-\left(\left(y + t\right) - 2\right)\right)\right) \cdot b
double f(double x, double y, double z, double t, double a, double b) {
        double r46712 = x;
        double r46713 = y;
        double r46714 = 1.0;
        double r46715 = r46713 - r46714;
        double r46716 = z;
        double r46717 = r46715 * r46716;
        double r46718 = r46712 - r46717;
        double r46719 = t;
        double r46720 = r46719 - r46714;
        double r46721 = a;
        double r46722 = r46720 * r46721;
        double r46723 = r46718 - r46722;
        double r46724 = r46713 + r46719;
        double r46725 = 2.0;
        double r46726 = r46724 - r46725;
        double r46727 = b;
        double r46728 = r46726 * r46727;
        double r46729 = r46723 + r46728;
        return r46729;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r46730 = x;
        double r46731 = y;
        double r46732 = 1.0;
        double r46733 = r46731 - r46732;
        double r46734 = z;
        double r46735 = r46733 * r46734;
        double r46736 = r46730 - r46735;
        double r46737 = t;
        double r46738 = r46737 - r46732;
        double r46739 = a;
        double r46740 = r46738 * r46739;
        double r46741 = r46736 - r46740;
        double r46742 = r46731 + r46737;
        double r46743 = 2.0;
        double r46744 = r46742 - r46743;
        double r46745 = -r46744;
        double r46746 = -r46745;
        double r46747 = b;
        double r46748 = r46746 * r46747;
        double r46749 = r46741 + r46748;
        return r46749;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
  2. Using strategy rm

  3. Applied add-cube-cbrt0.4

    \[\leadsto \left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot \color{blue}{\left(\left(\sqrt[3]{b} \cdot \sqrt[3]{b}\right) \cdot \sqrt[3]{b}\right)}\]

  4. Applied associate-*r*0.4

    \[\leadsto \left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \color{blue}{\left(\left(\left(y + t\right) - 2\right) \cdot \left(\sqrt[3]{b} \cdot \sqrt[3]{b}\right)\right) \cdot \sqrt[3]{b}}\]

  5. Final simplification0.0

    \[\leadsto \left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(-\left(-\left(\left(y + t\right) - 2\right)\right)\right) \cdot b\]

Reproduce

herbie shell --seed 2019297 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  :precision binary64
  (+ (- (- x (* (- y 1) z)) (* (- t 1) a)) (* (- (+ y t) 2) b)))